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Mathematics

A card is drawn from a pack of 52 playing cards. The probability of getting a queen of club or a king of heart is:

  1. (113)\Big(\dfrac{1}{13}\Big)

  2. (213)\Big(\dfrac{2}{13}\Big)

  3. (126)\Big(\dfrac{1}{26}\Big)

  4. (152)\Big(\dfrac{1}{52}\Big)

Probability

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Answer

A standard deck of playing cards contains 52 cards.

Total number of outcomes = 52

Let E be the event of choosing a queen of club or a king of heart , then

There is 1 Queen of Clubs and 1 King of Hearts in the deck.

The number of favorable outcomes to the event E = 2

∴ P(E) = Number of favorable outcomesTotal number of outcomes=252=126\dfrac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} = \dfrac{2}{52} = \dfrac{1}{26}

Hence, option 3 is the correct option.

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